A null hypothesis is a kind of hypothesis used in statistics. It proposes that, in a set of given observations, no statistical significance exists. The null hypothesis attempts to show that no variation exists between variables or that a single variable is no different than its mean. It is presumed to be true until statistical evidence nullifies it for an alternative hypothesis.
So, for this problem, given that three new colors have been proposed for the jeep grand cherokee vehicle. those are silvered-blue, almond, and willow green, the null hypothesis is:
H0: b. that there is no preference between the colors.
Answer: The simplified form by combining like terms is given by

Step-by-step explanation:
Since we have given that

Now, we combine the like terms :
1) First we collect m terms :

2) Combine n terms and constant terms :

Hence, the simplified form by combining like terms is given by

Answer:
y= 3
Step-by-step explanation:
The triangle on the left is a right triangle, so we can use trig functions to solve for the missing side, y.
First, find the length of the side that both triangles are connected to.
tan30=x/9
Isolate the x variable and solve.
9(tan30)=x
x= 5.19615
Now use the Pythagorean Theorem to solve for the side length, y.
a^2+ b^2 = c^2
(5.19615)^2+ b^2= 6^2
c= 3